Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Described access privileges in c++? what is the default , A: In C++ the acc...

A: In C++ the access privileges are public, private and protected. The default access level assigned to members of a class is private. Private members of any class are accessible o

Explain the working of strcpy function, Explain the Working of strcpy Funct...

Explain the Working of strcpy Function? strcpy() : This function is meant to use to copy one string to another. The strcpy function as well accepts two strings as arguments.

Write code to implement constructor and assessors, Study the given class sp...

Study the given class specification and answer the questions that follow: class Person { private:   string name;   int yrBorn;   int yrDied;   public:   Per

Draw pie chart in c++ program, Draw pie chart in c++ program: int main...

Draw pie chart in c++ program: int main() {                 char cmd;                   cout                 cout                 cmd = toupper(getch());

Type compatibility, Define  T y pe c o m p a t i b i li t y? ...

Define  T y pe c o m p a t i b i li t y? T o a s s i g n i n t t o s m a l l i n t t h e v a r i a b l e should b e

Equation, My project is compiling but the equation entered is not working

My project is compiling but the equation entered is not working

Stack push pop, 2 flowcharts, pseudocode for each (at least 4 algorithms), ...

2 flowcharts, pseudocode for each (at least 4 algorithms), and code for either a stack or a queuestion..

Help finish programming assignment, how much is it to fix a small data stru...

how much is it to fix a small data struct in a sorted list that pass itemtypes. all the code is written just logical errors

Dds, dsgdgdgdfgegwfesfsddfvxvwe

dsgdgdgdfgegwfesfsddfvxvwe

Padovan string, #question:-program to counts tha no of occurances of the st...

#question:-program to counts tha no of occurances of the string in the nth padovan string

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd